Question

Find the expression that is equilvelent

Answer 1

`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))=(18:6)/(12:6)\cdot a^(-2-(-4))b^(5-(-6))=(3)/(2)\cdot a^(-2+4)b^(5+6)=(3a^2b^(11))/(2)`



`Used:\\\\a^n:a^m=(a^n)/(a^m)=a^(n-m)`

Answer 2

For this case we have the following expression:
-18a ^ -2b ^ 5 / -12a ^ -4b ^ -6
For power properties we have:
-18a ^ (- 2 - (- 4)) b ^ (5 - (- 6)) / - 12
Rewriting we have:
18a ^ (- 2 + 4) b ^ (5 + 6) / 12
3a ^ (- 2 + 4) b ^ (5 + 6) / 2
3a ^ 2b11 / 2
Answer:
3a ^ 2b11 / 2
option 3